College Geometry Questions

There are 11 paintings at an art show Four of them are chosen randomly to display in the gallery window The order in which they are chosen does not matter How many ways are there to choose the paintings A 44 B 121 C 330 OD 7920

A pet store sells mice reptiles and birds Let event A A customer buys a mouse Let event B A customer buys a bird What does P A or B 0 25 mean in terms of this problem A The probability that a customer buys either a mouse or a bird is 25 B The probability that a customer buys both a mouse and a bird is 25 C Buying a mouse and buying a bird are mutually exclusive events D The probability that a customer buys neither a mouse nor a bird is 25

A marketing firm tracks data on grocery store visits In one study it finds that the probability that a shopper buys bread during a visit to the grocery store is 0 60 and the probability that a shopper buys cheese is 0 20 Event A A shopper buys bread Event B A shopper buys cheese A and B are independent events if A the probability of buying bread or cheese is 0 80 OB the probability of buying bread and cheese is 0 C the probability of buying bread or cheese is 0 12 OD the probability of buying bread and cheese is 0 12

Find the value of O A 5040 OB 42 O C 49 O D 823 543

A and B are mutually exclusive events P A 0 30 and P B 0 50 What is P A or B OA 0 80 OB 0 60 C 0 15 O D 0 20

Penguin Robin Snail Sparrow Pelican Bat Let event A The animal is a bird Let event B The animal can fly Which outcomes are in A and B V V A penguin robin sparrow pelican bat B robin sparrow pelican bat C robin sparrow pelican D penguin robin sparrow pelican

You roll two number cubes Let event A The number rolled on the first cube is 6 Let event B The sum of the numbers rolled is 11 What does P BA represent A The probability that the sum is not 11 B The probability that the first number cube shows a 6 given that th sum is 11 C The probability that the first cube does not show a 6 D The probability that the sum is 11 given that the first number cub shows a 6

2 a Write the polynomial in standard form 8x 6x 3x b Identify the leading coefficient of the polynomia c Identify the degree of the polynomial

6 Classify each polynomial on the left by degree Polynomial 2p p 2x 5n 10n 10 6n 6 Constant Quadratic Quartic 60000

Use the Box Graphic Organizer to multiply 3x 1 x 5 Choose the correct values from each drop down menu X 5 3x 1

7 Match each polynomial with its end behavior 32 7x 8 2 3x 9x 2x 8x 5 x 8x 2x 5 DRAG DROP THE ANSWER Asz co f x o and As o 2 0 Asz o f z o and As o f x o As 2 f z and As o f x o As T 00 f x and As a too f x 0

You are given the polynomial 13x 5 6x x Part A Write the polynomial in standard form Part B Determine the degree of the polynomial

b 6 Answer 2 A 4 0 2 3 B 4 1 0 2 0 2 only 10 10 Part B What are the zeroes of the above polynomial function

Name the degree of each of the following polynomials Polynomials 17x 6 27 4x 7 No degree O 1st degree 3rd degree JA 5th degree KITTY KIN

6 Describe the end behavior of the function graphed below N 8 10 12 14 A As a o f x B As a f x o as a As x f x as x x x D As x 00 f x o as x f x o as x x o f x

State what you know about the given polynomial expressic 8x 24 5x7 12x The degree of this polynomial is There are 24 is called the in Standard Form terms in this polynomial

Task Classify each polynomial based on the the degree of the polynomial DRAG DROP THE ANSWER 3 x 12x 6x 7y 12y 3y 17 9 6 4x 16 X 9 3x 9x 12 Quadratic Linear Cubic Constant

Classify each polynomial by its terms DRAG DROP THE ANSWER 2p p 1 5n 10n 10 10a 8n 5n 2n 8n 9n 10 4 2a 8a Monomial Trinomial Binomial Other

Which type of polynomial is the following 3x 5 7y A binomial B trinomial c monomial

a Which statement describes the end behavior of the function f x 2a 16x 32x As a o f a o and as a f x 0 B As a o f x co and as a o f a As a f a oo and as a f a DAs a o f a oo and as a o f a 0 b Part B Based on its end behavior which graph represents f x 2a 16x 32x A 25 20 15 10 5 s 10

Use the dropdown options to fill in row 5 of Pascal s Triangle 1 11 121 1331 14641

Matthew knows that he can use the 6th row of Pascal s triangle to calculate the coefficients of the expansion a b Calculate the numbers in the 6th row of Pascal s triangle and hence write out the coefficients of the expansion a b 5 1 5 10 10 5 1 82 6 15 20 15 6 2 1 7 21 35 35 21 7 1 1 6 15 20 15 6 1 1 3 3 1

Use the Binomial Theorem to expand the polynomial a b then fill in the blanks a a b 6a 4 8 6

Directions Multiply the binomials using the box metho 3x 2x x 5

Use Pascal s Triangle to complete the expansion of y z y 4y z y z 4yz z

Simplify 2x 3y 4

Select the Quadratic Binom A x 3x B x 8 Cx 7 D 3x 2x 8

In Springville the probability that a football team goes to the city playoffs is 0 25 The probability that the team goes to the state playoffs given that the team goes to the city playoffs is 0 40 What is the probability that a randomly selected team from Springville goes to the city and state playoffs A 0 10 OB 0 15 OC 0 65 D 0 20

A computer randomly puts a point inside the rectangle What is the probability that the point does not land in triangle T 6 T 2 O A 4 O C 778 OB 1 3 23 8 4 S

At a competition with 5 runners medals are awarded for first second and third places Each of the 3 medals is different How many ways are there to award the medals Decide if this is a permutation or a combination and find the number of ways to award the medals OA Permutation number of ways 60 OB Combination number of ways 60 C Permutation number of ways 10 D Combination number of ways 10

Let event A You buy a new umbrella on Friday Which event is most likely to be independent of A A You had a math test on Thursday B You visited the school lost and found on Thursday afternoon C It rained on Thursday D The weather forecast says it will rain on Saturday

Kellie randomly chooses a number from 1 to 10 What is the probability she chooses a number less than 3 A B C D 415 3 10 15 219

Graph the Function cot 3x 5 3 y To draw the graph plot two consecutive asymptotes ar points between those two asymptotes Then click on th

What is the probability that out of 60 lambs born on BaaBaa Farm at least 31 will be male Assume that males and females are equally probable and round your answer to the nearest tenth of a percent OA 25 9 OB 4 6 O C 44 9 D 12 3

Which situation can be considered a binomial experiment O A Drawing one marble from a bag containing 10 red and 7 blue marbles replacing after each draw until you have drawn 4 blue marbles B Asking 15 students how tall they are and recording their answers C Rolling a single number cube until you get a 3 D Tossing a coin 10 times and recording the number of times it lands on heads

Which expression entered into a graphing calculator will return the probability that 10 or fewer heads come up when flipping a coin 35 times OA binomcdf 35 10 0 5 B binomcdf 10 35 0 5 C binomcdf 35 0 5 10 O D binomcdf 10 0 5 35

What is the probability that out of 175 chicks hatched on Peeper Farm dl least 70 will be female Assume that males and females are equally probable and round your answer to the nearest tenth of a percent OA 88 7 OB 38 1 OC 3 5 D 99 7

Questio What is the probability of flipping a coin 85 times and getting tails 50 times U fewer Round your answer to the nearest tenth of a percent O A 95 9 OB 0 4 O C 99 8 D 33 2

If a binomial trial has a probability of success of 0 3 how many successes would you expect out of 2000 trials O A 1400 OB 1800 O C 1000 O D 600

In a valid probability distribution each probability must be between 0 and 1 inclusive and the probabilities must add up to 1 If a probability distribution 1 1 and x what is the value of x has probabilities 5 1 12 6 4 O A 1 4 OB 1 3 116 O C OD 1 2

Ques In a group of 40 students the probability that at most 15 of them like to hike is 36 What is the probability that at least 16 of them like to hike OA 38 OB 55 O C 64 OD 44

Every week a company provides fruit for its office employees They can choose from among five kinds of fruit Which probabilities correctly complete this probability distribution for the 50 pieces of fruit in the order listed Fruit Number of pieces Probability Apples Bananas Lemons Oranges 10 15 6 14 OA Probability 0 2 0 1 0 32 0 3 0 08 OB Probability 0 2 0 12 0 16 0 28 0 24 OC Probability 0 2 0 3 0 12 0 28 0 1 01 03 024 Pears 5

The Wildcats and the Leopards are evenly matched football teams When they play there is a 0 5 probability that the Wildcats will win If they play 9 times what is the probability that the Wildcats will win 2 of the games Round your answer to the nearest tenth of a percent A 7 0 OB 24 6 OC 16 4 O D 0 2

Which of these is an example of a discrete random variable O A Weight of a child O B Time worked on a job O C Number of siblings OD Length of a fish

A prize of 100 200 400 or 800 will be randomly awarded to a game show contestant with the probabilities of winning each prize shown in the table below What is the expected value of the prize that will be awarded A 320 B 375 OC 340 O D 380 Prize 100 200 400 800 Probability 0 2 0 2 0 4 0 2

The bar representing which of the following probabilities on a histogram would be the highest O A 1 OB TO 10 O C 1 O D 30

Suppose a binomial trial has a probability of success of 0 3 and 500 trials are performed What is the standard deviation of the possible outcomes Round your answer to two decimal places OA 10 25 OB 8 94 O C 10 95 OD 6 71

1 27 y 3 cos x 2n x 6

Graph one complete cycle for each of the following In each case label the axes so that the amplitude and period are easy to read 13 y 4 sin 2x 15 y 2 cos 4x 17 y 3 sin x 19 y 1 2 cos 3x 1 TL 21 y sin x 2 14 y 2 sin 4x 16 y 3 cos 2x 18 y 2 sin x y sin sin 3x 20 y TL 22 y 2 sin x

Graph each of the following over the given interval Label the axes so that the amplitude and period are easy to read 23 y 2 sin x 4 x 4 25 y 3 sin 2x x 2 24 y 3 os x 2 x 4 26 y 3 sin 2x 2n x 2